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Questions about Kähler manifolds and Kähler metrics.

25 votes
1 answer
699 views

The de Rham complex of the octonionic projective spaces

The complex projective space $\mathbb{CP}^n$ is a complex manifold, and hence its de Rham complex carries a representation of the complex numbers in the form of its complex structure. The quaternionic …
Nadia SUSY's user avatar
3 votes
2 answers
501 views

Vector bundle over compact complex manifold which is not holomorphic?

A vector bundle over a complex manifold is said to be holomorphic if its trivialization maps are biholomorphic maps. What is a "natural" example example of a vector bundle over compact complex manifol …
Nadia SUSY's user avatar